Configurational stability of a crack propagating in a material with mode-dependent fracture energy – Part II: Drift of fracture facets in mixed-mode I+II+III

In earlier papers (Leblond et al., 2011; 2019), we presented linear stability analyses of the coplanar propagation of a crack loaded in mixed-mode I+III, based on a “double” propagation criterion combining (Griffith, 1920)’s energetic condition and (Goldstein and Salganik, 1974)’s principle of local...

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Bibliographic Details
Published inJournal of the mechanics and physics of solids Vol. 137; no. C; p. 103894
Main Authors Vasudevan, Aditya, Ponson, Laurent, Karma, Alain, Leblond, Jean-Baptiste
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 01.04.2020
Elsevier BV
Elsevier
Subjects
Configurational stability
Crack propagation
Drift
Drifting motion
Fracture facets
Mode I+II+III
Propagation
Stability analysis
Stress intensity factors
Stress propagation
Drifting motion
Fracture facets
Mode I+II+III
Configurational stability
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Summary:In earlier papers (Leblond et al., 2011; 2019), we presented linear stability analyses of the coplanar propagation of a crack loaded in mixed-mode I+III, based on a “double” propagation criterion combining (Griffith, 1920)’s energetic condition and (Goldstein and Salganik, 1974)’s principle of local symmetry. The difference between the two papers was that in the more recent one, the local value of the critical energy-release-rate was no longer considered as a constant, but heuristically allowed to depend upon the ratio of the local mode III to mode I stress intensity factors. This led to a much improved, qualitatively acceptable agreement of theory and experiments, for the “threshold” value of the ratio of the unperturbed mode III to mode I stress intensity factors, above which coplanar propagation becomes unstable. In this paper, the analysis is extended to the case where a small additional mode II loading component is present in the initially planar configuration of the crack, generating a small, general kink of this crack from the moment it is applied. The main new effect resulting from presence of such a loading component is that the instability modes present above the threshold must drift along the crack front during its propagation. This prediction may be useful for future theoretical interpretations of a number of experiments where such a drifting motion was indeed observed.
Bibliography:USDOE
ISSN:0022-5096
1873-4782
DOI:10.1016/j.jmps.2020.103894